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Finding the Third Proportional to 163,017 and 336,510

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Solution

The third proportional to 163,017 and 336,510 is: 694,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,017 : 336,510 = 336,510 : x
  2. Step 2: Convert to fraction form
    163,017/336,510 = 336,510/x
  3. Step 3: Cross multiply
    163,017x = 336,510 × 336,510
  4. Step 4: Simplify right side
    163,017x = 113,238,980,100
  5. Step 5: Solve for x
    x = 113,238,980,100/163,017
  6. Step 6: Final answer
    x = 694,645.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.